Existence of periodic solutions for abstract neutral non-autonomous equations with infinite delay

Xianlong Fu; Xingbo Liu

doi:10.1016/j.jmaa.2006.01.048

Existence of periodic solutions for abstract neutral non-autonomous equations with infinite delay

Xianlong Fu^*
, Xingbo Liu

^*Corresponding author for this work

School of Mathematical Sciences

University of Tübingen

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

In this paper, by using Sadovskii fixed point theorem, we study the existence of solutions and periodic solutions for a class of abstract neutral functional evolution equations with infinite delay. An example is presented in the end to show the applications of the obtained results.

Original language	English
Pages (from-to)	249-267
Number of pages	19
Journal	Journal of Mathematical Analysis and Applications
Volume	325
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2006.01.048
State	Published - 1 Jan 2007

Keywords

Abstract neutral functional evolution equations
Infinite delay
Linear evolution operator
Measure of non-compactness
Sadovskii fixed point theorem

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10.1016/j.jmaa.2006.01.048

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title = "Existence of periodic solutions for abstract neutral non-autonomous equations with infinite delay",

abstract = "In this paper, by using Sadovskii fixed point theorem, we study the existence of solutions and periodic solutions for a class of abstract neutral functional evolution equations with infinite delay. An example is presented in the end to show the applications of the obtained results.",

keywords = "Abstract neutral functional evolution equations, Infinite delay, Linear evolution operator, Measure of non-compactness, Sadovskii fixed point theorem",

author = "Xianlong Fu and Xingbo Liu",

year = "2007",

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N2 - In this paper, by using Sadovskii fixed point theorem, we study the existence of solutions and periodic solutions for a class of abstract neutral functional evolution equations with infinite delay. An example is presented in the end to show the applications of the obtained results.

AB - In this paper, by using Sadovskii fixed point theorem, we study the existence of solutions and periodic solutions for a class of abstract neutral functional evolution equations with infinite delay. An example is presented in the end to show the applications of the obtained results.

KW - Abstract neutral functional evolution equations

KW - Infinite delay

KW - Linear evolution operator

KW - Measure of non-compactness

KW - Sadovskii fixed point theorem

UR - https://www.scopus.com/pages/publications/33750320330

U2 - 10.1016/j.jmaa.2006.01.048

DO - 10.1016/j.jmaa.2006.01.048

M3 - 文章

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EP - 267

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Existence of periodic solutions for abstract neutral non-autonomous equations with infinite delay

Abstract

Keywords

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